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Finding the Fourth Proportional to 3,852.42, 5,316.22 and 2,436.88

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Solution

The fourth proportional to 3,852.42, 5,316.22 and 2,436.88 is: 3,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.42 : 5,316.22 = 2,436.88 : x
  2. Step 2: Convert to fraction form
    3,852.42/5,316.22 = 2,436.88/x
  3. Step 3: Cross multiply
    3,852.42x = 5,316.22 × 2,436.88
  4. Step 4: Simplify right side
    3,852.42x = 12,954,978.01
  5. Step 5: Solve for x
    x = 12,954,978.01/3,852.42
  6. Step 6: Final answer
    x = 3,362.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.